The global behavior of heat kernels in exterior domains
type: Item
instance of: scholarly article
title: The global behavior of heat kernels in exterior domains
zbMATH Open document ID: 1021.58019
DOI: 10.1016/S0022-1236(02)00074-5
author: Qi S. Zhang
published in: Journal of Functional Analysis
publication date: 2003-05-25T00:00:00Z
review text: It is established the global boundary behavior of Dirichlet heat kernels on some unbounded \(C^{1,1}\) domains \(D\subset M\) where \(M\) is a complete noncompact manifold with nonnegative Ricci curvature. These, combined with the interior estimate in the recent paper of \textit{A. Grigoryan} and \textit{L. Saloff-Coste} [Commun. Pure Appl. Math. 55, 93-133 (2002; Zbl 1037.58018)], provide a complete and qualitatively sharp description of heat kernels \(G\) of Dirichlet Laplacian.
Mathematics Subject Classification ID: 58J32
Mathematics Subject Classification ID: 58J35
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1915625
zbMATH Keywords: heat kernel
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: unbounded domain
reviewed by: Lubomira Softova
MaRDI profile type: Publication
Wikidata QID: Q125730939
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full work available at URL: s0022-1236(02)00074-5
OpenAlex ID: W2028749346
description: scientific article; zbMATH DE number 1915625